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Simplifying of rules


I got the following solution to a complicated set of trig equations (using
the following statement: soln2 = Solve[{eq6, eq7}, a] where the equations
involve trig functions of a, b and a+b ...

{{a -> -ArcCos[-Cos[b]]}, {a -> ArcCos[-Cos[b]]},
 {a -> -ArcCos[Cos[b]]}, {a -> ArcCos[Cos[b]]}}

Now, by inspection it's obvious what the relationship between a & b is, but
how do I force Mathematica to simplify out all these ArcCos[Cos[]]
instances?  

I guess the other question would be "How could I have avoided these
nonsimplified rules to begin with?"

- Eric.

-- 

Eric Strobel (fyzycyst at NOSPAM^mailaps.org)

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I'm always forgetting that I have short term memory loss...
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